All categories

3 years ago

Roman stands across from a flag pole.

Mathematics

2 answers:

tigry1 [53]3 years ago

6 0

We have been given a right angled triangle, hypotenuse is known, and angle has been given. we need to find the adjacent side to the angle.

we use trigonometry ratios.
the ratio where we relate the hypotenuse and adjacent side is the cosine.
cos θ = adjacent side / hypotenuse
where θ = 39°
hypotenuse - 17 m
adjacent side - x
we need to solve for x

cos 39° = x / 17
cos 39° = 0.77
0.7771 = x/17
x = 0.7771 x 17
x = 13.21 m
distance from Roman's feet to the base of the pole is 13.21

Andrews [41]3 years ago

3 0

Answer:

13.2 is the answer

DO NOT PUT 13.21 OR YOU WILL GET IT WRONG, I TOOK THIS QUIZ AND PUT 13.21 AND I WAS WRONG, THE CORRECT ANSWER IS 13.2

You might be interested in

The temperature of magnesium must be at least 650° for the metal to melt. A sample of magnesium is currently 255°. The temperatu

brilliants [131]

Answer:

You're right....

6 0

2 years ago

Read 2 more answers

Find the values of x and y in the figure below. Enter the answers as numbers.

ella [17]

Answer: $x=79^{\circ}\ and\ y=101^{\circ}$

Step-by-step explanation:

In the given picture, a parallelogram PQRS is given with angle 101°.

In a parallelogram opposite angles are equal.

Since, y is opposite to 101°.

Therefore y=101°

Also, the sum of the adjacent angles of a parallelogram is 180°

$\\\Rightarrow\ x+101^{\circ}=180^{\circ}\\\Rightarrow\ x=180^{\circ}-101^{\circ}\\\Rightarrow\ x=79^{\circ}$

8 0

3 years ago

the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length

lisov135 [29]

Answer:

B. $4\sqrt{7}$

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

$h = \sqrt{(xy)}$

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = $h = \sqrt{(14*8)}$

$h = \sqrt{112}$

$h = \sqrt{16}*\sqrt{7}$

$h = 4\sqrt{7}$

3 0

3 years ago

Can someone please help me on this question? Use the following diagram to find the fraction representing each collection of dots

ale4655 [162]

Answer:

a. 4/7

e. 3/4

Step-by-step explanation:

For each part of the question, count the dots that meet the first requirement, and count the dots that meet the "fraction of ..." requirement. The desired fraction is the ratio of these numbers. In the answers above, we have reduced the fractions to lowest terms, but the question does not seem to require that.

a. The desired fraction is ...

(dots in the triangle)/(all dots) = 16/28 = 4/7

e. (dots in the rectangle not in the circle)/(dots in the rectangle) = 9/12 = 3/4

8 0

2 years ago

Simplify each expression -21v^6/-6v^8, v=0

EleoNora [17]

Answer:

The correct answer is,

$- \frac{7v {14}^{} }{2}$

6 0

3 years ago

Read 2 more answers